772.98 is what percent of 5946 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 5946 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 5946, so we can write it down as 100%=5946.
4. We know, that x% equals 772.98 of the output value, so we can write it down as x%=772.98.
5. Now we have two simple equations:
1) 100%=5946
2) x%=772.98
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=5946/772.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 772.98 is what percent of 5946

100%/x%=5946/772.98
(100/x)*x=(5946/772.98)*x       - we multiply both sides of the equation by x
100=7.6923076923077*x       - we divide both sides of the equation by (7.6923076923077) to get x
100/7.6923076923077=x
13=x
x=13

now we have:
772.98 is 13% of 5946